Solve equation perturbatively

In summary, solving an equation perturbatively involves finding an approximate solution by starting with a known solution and systematically adding corrections due to small changes in parameters. This method is particularly useful in complex systems where exact solutions are difficult to obtain, allowing for an iterative approach that builds upon simpler cases to derive more accurate results.
  • #1
djymndl07
20
0
I have this expression, $$T=2 P r-\frac{q^2}{4 \pi r^3}+\frac{1}{4 \pi r}$$. Now I want to solve this equation for ##r## perturbatively. This will give the expression $$r=\frac{T}{2 P}-\frac{1}{4 \pi T}+\frac{P \left(8 \pi P q^2-1\right)}{8 \left(\pi ^2 T^3\right)}+.......$$. I was reading an article where author did this. How can I do this in mathematica?
 
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  • #2
Which is your small parameter? It is unclear from your post.
 
  • #3
djymndl07 said:
How can I do this in mathematica?
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